359164955424 has 384 divisors, whose sum is σ = 1103201648640. Its totient is φ = 101283840000.

The previous prime is 359164955419. The next prime is 359164955431. The reversal of 359164955424 is 424559461953.

359164955424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95292612 + ... + 95296380.

It is an arithmetic number, because the mean of its divisors is an integer number (2872920960).

Almost surely, 2^359164955424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359164955424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551600824320).

359164955424 is an abundant number, since it is smaller than the sum of its proper divisors (744036693216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

359164955424 is a wasteful number, since it uses less digits than its factorization.

359164955424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3928 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 57.

The spelling of 359164955424 in words is "three hundred fifty-nine billion, one hundred sixty-four million, nine hundred fifty-five thousand, four hundred twenty-four".